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2200011001000 = 23537330137137
BaseRepresentation
bin100000000000111010110…
…111111100110010101000
321210022121112211102222221
4200000322313330302220
5242021110304013000
64402400542523424
7314642215650661
oct40007267746250
97708545742887
102200011001000
1177902394621a
122b6463296574
1312c5c9c358c7
14786a41d6368
153c3623c661a
hex2003adfcca8

2200011001000 has 64 divisors (see below), whose sum is σ = 5218546816080. Its totient is φ = 867949516800.

The previous prime is 2200011000983. The next prime is 2200011001033. The reversal of 2200011001000 is 1001100022.

It can be written as a sum of positive squares in 8 ways, for example, as 4238270404 + 2195772730596 = 65102^2 + 1481814^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14995569 + ... + 15141568.

Almost surely, 22200011001000 is an apocalyptic number.

2200011001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200011001000 is an abundant number, since it is smaller than the sum of its proper divisors (3018535815080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2200011001000 is a wasteful number, since it uses less digits than its factorization.

2200011001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30137231 (or 30137217 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2200011001000 its reverse (1001100022), we get a palindrome (2201012101022).

The spelling of 2200011001000 in words is "two trillion, two hundred billion, eleven million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 250 292 365 500 584 730 1000 1460 1825 2920 3650 7300 9125 14600 18250 36500 73000 30137137 60274274 120548548 150685685 241097096 301371370 602742740 753428425 1205485480 1506856850 2200011001 3013713700 3767142125 4400022002 6027427400 7534284250 8800044004 11000055005 15068568500 17600088008 22000110010 30137137000 44000220020 55000275025 88000440040 110000550050 220001100100 275001375125 440002200200 550002750250 1100005500500 2200011001000